Linear Art Project

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#############################################################The horizontal lines are markers for where we are in the project.The items between the horizontal lines in red represent the work that should be in progress.
Everything in black above the top horizontal line it is past due.
Everything in black below the bottom horizontal line is yet to be assigned.#############################################################

Part One – Familiarize Yourself with Your Picture

  1. You will be assigned one of the pictures in the following document.
    linear_art_pictures.pdf

Part Two – Determine Your Ordered Pairs with a Graphing Tool


A. Copy and Share the Linear Art - Document

  1. In your SDST Google Docs account there is a Spreadsheet called Linear Art.
  2. Go to the File menu and choose Make a Copy. Do not write anything on the original document that you copied.
  3. Rename the document Linear - Art - Your Last Name.
  4. Share the Document to me. UNCHECK THE NOTIFY BOX

B. Graph Your Ordered Pairs


1. On the Google Spreadsheet there are letters that correspond to the ones on your picture. Graph the points that correspond to the letters by entering them on your Google Spreadsheet. For example, if the point you want to graph is labeled A and the point on your picture is (3, -4), do the following

linear_art_example.GIF

2. Be careful to check each point as you graph it. If it does not come up on the screen in the place that it is graphed on your paper then it is wrong. The point on the paper is correct, but the numbers you entered into the computer need to be fixed.





Part Three – Find Equations of Lines that Connect Your Dots


  1. Once you have attempted to graph your points, you need to find the equations of the lines that connect them. Make sure you obtain a new copy of your drawing from Mr. Vizza with verified points for your drawing.

A. Finding the Equations of Your Horizontal Lines


You will need the following organizer for parts 3A and 3B.
Equations Log for Horizontal and Vertical Lines.pdf

A Few Things to Note:
  • All of the equations in Part 3A will be of the form y = #.
  • There is no computation needed for these equations.
  • There is no organizer for these equations. However, you must enter the equations into the log. Be sure to include the points you are connecting in your drawing when writing the equation.
  • If you forget how to make/read an equation of a horizontal line, watch this video.
  • Repeat this process until you have found all of the equations to all diagonal lines have been found.

B. Finding the Equations of Your Vertical Lines

A Few Things to Note:
  • All of the equations in Part 3B will be of the form x = #.
  • There is no computation needed for these equations.
  • There is no organizer for these equations. However, you must enter the equations into the log. Be sure to include the points you are connecting in your drawing when writing the equation.
  • If you forget how to make/read an equation of a vertical line, watch this video.

C. Finding the Equations of Your Diagonal Lines

A Few Things to Note:
  • All of the equations in Part 3C will be in slope-intercept form (y=mx+b)
  • You will need the slope formula and the point slope formula.
  • The formulas are available on the Graphic Organizers for Point Slope Formula. Organizers are available in class. You can also print additional organizers here.
    linear_art_graph_org_diag_lines.pdf
  • Pick two points that need to be connected in an attempt to create your picture.
  • For these two points, copy the letters (as well as the points) onto the graphic organizer
  • Use the organizer to determine the equation of the line that connects the two points.
  • Use your graphing calculator to check your answer. Click here to watch a video for this if you have forgotten how. If it is wrong , you need to back and fix it. Once it is correct, take a highlighter and highlight your answer.

Part Four – Checking Your Answer with a Graphing Tool

  1. Download the spreadsheet attached here. Save it to your H Drive. This will allow your to access it from anywhere in the building. Make sure that you save the document as Linear Art - Graphing Tool - Your Last Name.
    LinearArtGraphingTool.xlsx
  2. On the sheet, graph the equations of your lines. For each line diagonal and horizontal line, you will need to create a domain statement. For each vertical line, you will need to create a range statement. These statements will create the line segment portion of the line that you drew in your graph.
  3. When you complete the spreadsheet, it should be your picture.
  4. Email the spreadsheet to me at Tom_Vizza@sdst.org. In the subject line you need to put Linear Art Project.